I’ve tried to make my own very general roadmap to category theory based on the questions asked on MSE and MO regarding self-studying this area. It’s something like this:

- Abstract Algebra
- Point Set Topology
- Algebraic Topology
- Category Theory

Now, I read somewhere recently that abstract algebra should be done after linear algebra. But I’ve started on Dummit and Foote and found it quite easy and readable, despite the extent of my linear algebra knowledge being the set-theoretic definitions of vector spaces and modules, what linear independence is, and how to multiply matrices.

So my question: Given that I’m not currently interested in studying linear algebra for the sake of linear algebra, should I study it or just keep going with abstract algebra? If I should study it, what books should I look at?

Also: Applied math is not my goal. That being said, examples help when introducing an abstract concept. It’s like how knowing what a group is might help when defining $\mathcal{L}$-structures, but while learning logic it need not be applied to group theory.